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Jun

☼ Circular Permutation : The total number of circular permutations of n distinct objects taken all at a time =

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Jun

Permutations

☼ PERMUTATIONS : In the above example, 2 objects were selected from 3 objects in such a way that the order of the arrangements is important.

Now, if there were n = 10 objects and r = 3 objects were to be selected, then we …

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Jun

Definition of Fundamental principal of counting

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☼ Definition of Fundamental principal of counting : If one operation can be performed in m ways and if corresponding to each of the m…

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Jun

Permutation And Combination

☼ Factorials : Permutation and Combination is a topic which requires use of the concept of factorials. A factorial is the number obtained by multiplying all the positive integers less than or equal to a given positive integer. T…

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Jun

Examples

(1) In what proportion must rice at Rs. 12.50 per kg. be mixed with rice at Rs. 15.20 per kg., so that the mixture be worth Rs. 14.00 per kg. ?

Solution.

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Jun

ALLIGATION OR MIXTURE

☼ Alligations is the rule that helps us to find the amount in which two different quantities of a substance are mixed so as to arrive at average cost.

☼ If the gradients are mixed in some ratio, then

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Jun

Examples(2)

(8) If a, b, c, d are four consecutive odd integers, then give its average in the form of a.

Soln. A b c

Here, a, b, c, d are in A.P.

$\th... </p> <div class=$

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